(9(x+5)-16)-(2(x-1)+7)=

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Solution for (9(x+5)-16)-(2(x-1)+7)= equation:


Simplifying
(9(x + 5) + -16) + -1(2(x + -1) + 7) = 0

Reorder the terms:
(9(5 + x) + -16) + -1(2(x + -1) + 7) = 0
((5 * 9 + x * 9) + -16) + -1(2(x + -1) + 7) = 0
((45 + 9x) + -16) + -1(2(x + -1) + 7) = 0

Reorder the terms:
(45 + -16 + 9x) + -1(2(x + -1) + 7) = 0

Combine like terms: 45 + -16 = 29
(29 + 9x) + -1(2(x + -1) + 7) = 0

Remove parenthesis around (29 + 9x)
29 + 9x + -1(2(x + -1) + 7) = 0

Reorder the terms:
29 + 9x + -1(2(-1 + x) + 7) = 0
29 + 9x + -1((-1 * 2 + x * 2) + 7) = 0
29 + 9x + -1((-2 + 2x) + 7) = 0

Reorder the terms:
29 + 9x + -1(-2 + 7 + 2x) = 0

Combine like terms: -2 + 7 = 5
29 + 9x + -1(5 + 2x) = 0
29 + 9x + (5 * -1 + 2x * -1) = 0
29 + 9x + (-5 + -2x) = 0

Reorder the terms:
29 + -5 + 9x + -2x = 0

Combine like terms: 29 + -5 = 24
24 + 9x + -2x = 0

Combine like terms: 9x + -2x = 7x
24 + 7x = 0

Solving
24 + 7x = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-24' to each side of the equation.
24 + -24 + 7x = 0 + -24

Combine like terms: 24 + -24 = 0
0 + 7x = 0 + -24
7x = 0 + -24

Combine like terms: 0 + -24 = -24
7x = -24

Divide each side by '7'.
x = -3.428571429

Simplifying
x = -3.428571429

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